J P Mohindru and Bharat Mohindru Solutions for Chapter: Arithmetic Progressions, Exercise 7: FOR ASSESSMENT

For what value of $k$, $\left[10, k, -2\right]$ are in A.P.?

In an A.P. the $p^{\mathrm{th}}$ term is $q$ and the ${\left(p+q\right)}^{\mathrm{th}}$ term is $0$. Then the $q^{\mathrm{th}}$ term is:

If the third term of an A.P. is $12$ and the seventh term is $24$, then the ${10}^{\mathrm{th}}$ is:

If $a,$ $b,$ $c,$ $d,$ $e,$ $f$ are in A.P., then $e-c$ is equal to

The value of $n$ for which $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ is the A.M. between $a$ and $b$ is:

If the sum of first $75$ terms of an A.P is $2625$, then the ${38}^{\mathrm{th}}$ term of the A.P is:

If $-5$, $k$, $-1$ are in A.P, then the value of $k$ is equal to: 

If $100$ times the ${100}^{\mathrm{th}}$ term of an A.P with non-zero common difference equals the $50$ times its ${50}^{\mathrm{th}}$ term, then the ${150}^{\mathrm{th}}$ term of this A.P is: